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Find k if the midpoint of (2k, 4k) and (4, 2) is (5, 7).

Class 10Midpoint ApplicationsGeometry — Coordinates

A4
B6
C3
D2

Step-by-Step Solution

x : (2 k + 4) /2 = 5

gives

2 k = 6, k = 3. y

check:

(4 k + 2) /2 = (12 + 2) /2 = 7

. Both equations give

k = 3

, consistent.

Answer: C) 3

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